結果

問題 No.947 ABC包囲網
ユーザー heno239heno239
提出日時 2023-04-29 20:40:44
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 7 ms / 2,000 ms
コード長 7,909 bytes
コンパイル時間 1,616 ms
コンパイル使用メモリ 152,732 KB
実行使用メモリ 12,076 KB
最終ジャッジ日時 2024-11-18 13:49:52
合計ジャッジ時間 3,182 ms
ジャッジサーバーID
（参考情報） 		judge1 / judge3
このコードへのチャレンジ
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 5 ms
11,848 KB
testcase_01 AC 4 ms
11,848 KB
testcase_02 AC 4 ms
11,844 KB
testcase_03 AC 4 ms
11,720 KB
testcase_04 AC 4 ms
11,720 KB
testcase_05 AC 3 ms
11,848 KB
testcase_06 AC 3 ms
11,844 KB
testcase_07 AC 4 ms
11,720 KB
testcase_08 AC 4 ms
11,720 KB
testcase_09 AC 4 ms
11,724 KB
testcase_10 AC 3 ms
11,976 KB
testcase_11 AC 4 ms
11,720 KB
testcase_12 AC 4 ms
11,844 KB
testcase_13 AC 4 ms
11,848 KB
testcase_14 AC 4 ms
11,848 KB
testcase_15 AC 4 ms
11,720 KB
testcase_16 AC 4 ms
11,720 KB
testcase_17 AC 4 ms
11,720 KB
testcase_18 AC 5 ms
11,720 KB
testcase_19 AC 5 ms
11,848 KB
testcase_20 AC 4 ms
11,724 KB
testcase_21 AC 4 ms
11,724 KB
testcase_22 AC 5 ms
11,848 KB
testcase_23 AC 4 ms
11,844 KB
testcase_24 AC 4 ms
11,848 KB
testcase_25 AC 4 ms
11,852 KB
testcase_26 AC 4 ms
11,844 KB
testcase_27 AC 4 ms
11,848 KB
testcase_28 AC 6 ms
11,980 KB
testcase_29 AC 6 ms
11,972 KB
testcase_30 AC 6 ms
12,072 KB
testcase_31 AC 7 ms
11,976 KB
testcase_32 AC 6 ms
12,068 KB
testcase_33 AC 6 ms
12,072 KB
testcase_34 AC 7 ms
11,944 KB
testcase_35 AC 6 ms
11,944 KB
testcase_36 AC 6 ms
11,976 KB
testcase_37 AC 7 ms
11,976 KB
testcase_38 AC 7 ms
11,940 KB
testcase_39 AC 6 ms
12,072 KB
testcase_40 AC 6 ms
11,944 KB
testcase_41 AC 6 ms
12,072 KB
testcase_42 AC 6 ms
11,948 KB
testcase_43 AC 6 ms
11,944 KB
testcase_44 AC 6 ms
11,976 KB
testcase_45 AC 7 ms
11,976 KB
testcase_46 AC 6 ms
11,944 KB
testcase_47 AC 6 ms
11,976 KB
testcase_48 AC 6 ms
12,076 KB
testcase_49 AC 7 ms
12,076 KB
testcase_50 AC 6 ms
12,076 KB
testcase_51 AC 4 ms
11,852 KB
testcase_52 AC 4 ms
11,724 KB
testcase_53 AC 4 ms
11,848 KB
testcase_54 AC 4 ms
11,724 KB
testcase_55 AC 4 ms
11,724 KB
testcase_56 AC 4 ms
11,716 KB
testcase_57 AC 4 ms
11,716 KB
testcase_58 AC 4 ms
11,848 KB
testcase_59 AC 5 ms
11,716 KB
権限があれば一括ダウンロードができます

ソースコード

diff # 

//#pragma GCC optimize("O3")
//#pragma GCC optimize("unroll-loops")
#include<iostream>
#include<string>
#include<cstdio>
#include<vector>
#include<cmath>
#include<algorithm>
#include<functional>
#include<iomanip>
#include<queue>
#include<ciso646>
#include<random>
#include<map>
#include<set>
#include<bitset>
#include<stack>
#include<unordered_map>
#include<unordered_set>
#include<utility>
#include<cassert>
#include<complex>
#include<numeric>
#include<array>
#include<chrono>
using namespace std;

//#define int long long
typedef long long ll;

typedef unsigned long long ul;
typedef unsigned int ui;
//ll mod = 1;
constexpr ll mod = 998244353;
//constexpr ll mod = 1000000007;
const int mod17 = 1000000007;
const ll INF = mod * mod;
typedef pair<int, int>P;

#define rep(i,n) for(int i=0;i<n;i++)
#define per(i,n) for(int i=n-1;i>=0;i--)
#define Rep(i,sta,n) for(int i=sta;i<n;i++)
#define rep1(i,n) for(int i=1;i<=n;i++)
#define per1(i,n) for(int i=n;i>=1;i--)
#define Rep1(i,sta,n) for(int i=sta;i<=n;i++)
#define all(v) (v).begin(),(v).end()
typedef pair<ll, ll> LP;

using ld = long double;
typedef pair<ld, ld> LDP;
const ld eps = 1e-10;
const ld pi = acosl(-1.0);

template<typename T>
void chmin(T& a, T b) {
	a = min(a, b);
}
template<typename T>
void chmax(T& a, T b) {
	a = max(a, b);
}
template<typename T>
vector<T> vmerge(vector<T>& a, vector<T>& b) {
	vector<T> res;
	int ida = 0, idb = 0;
	while (ida < a.size() || idb < b.size()) {
		if (idb == b.size()) {
			res.push_back(a[ida]); ida++;
		}
		else if (ida == a.size()) {
			res.push_back(b[idb]); idb++;
		}
		else {
			if (a[ida] < b[idb]) {
				res.push_back(a[ida]); ida++;
			}
			else {
				res.push_back(b[idb]); idb++;
			}
		}
	}
	return res;
}
template<typename T>
void cinarray(vector<T>& v) {
	rep(i, v.size())cin >> v[i];
}
template<typename T>
void coutarray(vector<T>& v) {
	rep(i, v.size()) {
		if (i > 0)cout << " "; cout << v[i];
	}
	cout << "\n";
}
ll mod_pow(ll x, ll n, ll m = mod) {
	if (n < 0) {
		ll res = mod_pow(x, -n, m);
		return mod_pow(res, m - 2, m);
	}
	if (abs(x) >= m)x %= m;
	if (x < 0)x += m;
	//if (x == 0)return 0;
	ll res = 1;
	while (n) {
		if (n & 1)res = res * x % m;
		x = x * x % m; n >>= 1;
	}
	return res;
}
//mod should be <2^31
struct modint {
	int n;
	modint() :n(0) { ; }
	modint(ll m) {
		if (m < 0 || mod <= m) {
			m %= mod; if (m < 0)m += mod;
		}
		n = m;
	}
	operator int() { return n; }
};
bool operator==(modint a, modint b) { return a.n == b.n; }
bool operator<(modint a, modint b) { return a.n < b.n; }
modint operator+=(modint& a, modint b) { a.n += b.n; if (a.n >= mod)a.n -= (int)mod; return a; }
modint operator-=(modint& a, modint b) { a.n -= b.n; if (a.n < 0)a.n += (int)mod; return a; }
modint operator*=(modint& a, modint b) { a.n = ((ll)a.n * b.n) % mod; return a; }
modint operator+(modint a, modint b) { return a += b; }
modint operator-(modint a, modint b) { return a -= b; }
modint operator*(modint a, modint b) { return a *= b; }
modint operator^(modint a, ll n) {
	if (n == 0)return modint(1);
	modint res = (a * a) ^ (n / 2);
	if (n % 2)res = res * a;
	return res;
}

ll inv(ll a, ll p) {
	return (a == 1 ? 1 : (1 - p * inv(p % a, a)) / a + p);
}
modint operator/(modint a, modint b) { return a * modint(inv(b, mod)); }
modint operator/=(modint& a, modint b) { a = a / b; return a; }
const int max_n = 1 << 20;
modint fact[max_n], factinv[max_n];
void init_f() {
	fact[0] = modint(1);
	for (int i = 0; i < max_n - 1; i++) {
		fact[i + 1] = fact[i] * modint(i + 1);
	}
	factinv[max_n - 1] = modint(1) / fact[max_n - 1];
	for (int i = max_n - 2; i >= 0; i--) {
		factinv[i] = factinv[i + 1] * modint(i + 1);
	}
}
modint comb(int a, int b) {
	if (a < 0 || b < 0 || a < b)return 0;
	return fact[a] * factinv[b] * factinv[a - b];
}
modint combP(int a, int b) {
	if (a < 0 || b < 0 || a < b)return 0;
	return fact[a] * factinv[a - b];
}

ll gcd(ll a, ll b) {
	a = abs(a); b = abs(b);
	if (a < b)swap(a, b);
	while (b) {
		ll r = a % b; a = b; b = r;
	}
	return a;
}
template<typename T>
void addv(vector<T>& v, int loc, T val) {
	if (loc >= v.size())v.resize(loc + 1, 0);
	v[loc] += val;
}
/*const int mn = 2000005;
bool isp[mn];
vector<int> ps;
void init() {
	fill(isp + 2, isp + mn, true);
	for (int i = 2; i < mn; i++) {
		if (!isp[i])continue;
		ps.push_back(i);
		for (int j = 2 * i; j < mn; j += i) {
			isp[j] = false;
		}
	}
}*/

//[,val)
template<typename T>
auto prev_itr(set<T>& st, T val) {
	auto res = st.lower_bound(val);
	if (res == st.begin())return st.end();
	res--; return res;
}

//[val,)
template<typename T>
auto next_itr(set<T>& st, T val) {
	auto res = st.lower_bound(val);
	return res;
}
using mP = pair<modint, modint>;
mP operator+(mP a, mP b) {
	return { a.first + b.first,a.second + b.second };
}
mP operator+=(mP& a, mP b) {
	a = a + b; return a;
}
mP operator-(mP a, mP b) {
	return { a.first - b.first,a.second - b.second };
}
mP operator-=(mP& a, mP b) {
	a = a - b; return a;
}
LP operator+(LP a, LP b) {
	return { a.first + b.first,a.second + b.second };
}
LP operator+=(LP& a, LP b) {
	a = a + b; return a;
}
LP operator-(LP a, LP b) {
	return { a.first - b.first,a.second - b.second };
}
LP operator-=(LP& a, LP b) {
	a = a - b; return a;
}

mt19937 mt(time(0));

const string drul = "DRUL";
string senw = "SENW";
//DRUL,or SENW
//int dx[4] = { 1,0,-1,0 };
//int dy[4] = { 0,1,0,-1 };

//-----------------------------------------

ll dot(LP a, LP b) {
	return a.first * b.first + a.second * b.second;
}
ll cross(LP a, LP b) {
	return a.first * b.second - a.second * b.first;
}
ll norm2(LP a) {
	return a.first * a.first + a.second * a.second;
}
int ccw(LP a, LP b, LP c) {
	b.first -= a.first; b.second -= a.second;
	c.first -= a.first; c.second -= a.second;
	if (cross(b, c) > 0)return 1;//counter clockwise
	if (cross(b, c) < 0)return -1;//clockwise
	if (dot(b, c) < 0)return 2;//c--a--b on line
	if (norm2(b) < norm2(c))return -2;//a--b--c on line
	return 0;//a--c--b on line
}
struct rpoint {
	ll x, y;
};
bool operator<(rpoint a, rpoint b) {
	if (a.x == 0 && a.y == 0) {
		return b.y > 0 || (b.x < 0 && b.y == 0);
	}
	if (b.x == 0 && b.y == 0) {
		return a.y < 0;
	}
	if ((a.y >= 0) != (b.y >= 0)) {
		if (a.y < 0)return true;
		else return false;
	}
	if (a.y < 0) {
		if ((a.x >= 0) != (b.x >= 0)) {
			if (a.x < 0)return true;
			else return false;
		}
		return a.y * b.x < a.x* b.y;
	}
	else {
		if ((a.x >= 0) != (b.x >= 0)) {
			if (a.x >= 0)return true;
			else return false;
		}
		return a.y * b.x < a.x* b.y;
	}
}
bool operator==(rpoint a, rpoint b) {
	return !(a < b) && !(b < a);
}

void solve() {
	int n; cin >> n;
	vector<rpoint> vp(n);
	rep(i, n) {
		int x, y; cin >> x >> y;
		vp[i] = { x,y };
	}
	sort(all(vp));
	vector<LP> ps;
	rep(_, 2)rep(i, vp.size())ps.push_back({ vp[i].x,vp[i].y });
	int r = 0;
	ll ans = (ll)n * (n - 1) * (n - 2) / 6;
	rep(i, n) {
		while (r < i + n && ccw(ps[i], ps[r], LP{ 0,0 }) != -1)r++;
		//cout << i << " " << r << "\n";
		ll c = r - i;
		ans -= c * (c - 1) * (c - 2) / 6;
		while (i + 1 < n && vp[i % n] == vp[(i + 1) % n]) {
			i++;
		}
		//cout << "! " << c << " ";
		c = r - (i + 1);
		ans += c * (c - 1) * (c - 2) / 6;
		//cout << "? " << c << "\n";
	}
	vector<pair<rpoint, int>> pvp;
	rep(i, vp.size()) {
		int col = 0;
		if (vp[i].y <= 0) {
			if (vp[i].y == 0 && vp[i].x < 0) {
				//
			}
			else {
				vp[i].x *= -1;
				vp[i].y *= -1;
				col = 1;
			}
		}
		pvp.push_back({ vp[i],col });
	}
	sort(all(pvp));
	rep(i, n) {
		int c[2] = {};
		c[pvp[i].second]++;
		while (i + 1 < n && pvp[i].first == pvp[i + 1].first) {
			i++;
			c[pvp[i].second]++;
		}
		ans += (ll)c[0] * (c[0] - 1) / 2 * c[1];
		ans += (ll)c[0] * c[1] * (c[1] - 1) / 2;
	}
	cout << ans << "\n";
}



signed main() {
	ios::sync_with_stdio(false);
	cin.tie(0);
	//cout << fixed << setprecision(15);
	//init_f();
	//init();
	//while(true)
	//expr();
	//int t; cin >> t; rep(i, t)
	solve();
	return 0;
}
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